Convert each function to standard form. Give the x and y intercepts. Graph. Show the line of symmetry.
23) f(x) = (x + 2)(x - 3) 24) f(x) = (x - 4)(x - 2) 25) y = (x + 5)(x - 1) 26) f(x) = (x + 3)(x + 4)
Convert each function to vertex form by completing the square.
27) x + 6x = y 28) y = d + 10d 29) y = f + 8f 30) h + 12h = y
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31) h + 6h + 5 = y 32) y = x + 10x + 9 33) y = k + 8k + 12 34) x + 12x + 27 = y
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Convert each function to vertex form. Give the vertex and y intercept. Graph. Check your work on the calc.
35) y = x + 6x + 8 36) y = x + 10x + 21 37) y = x + 2z 38) f(x) = x + 8x + 7
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Given the roots (zeroes) of a quadratic function, write the function in factored and standard forms. Graph.
39) x= -3, 5 40) x = 3, -1 41) x = 3, multiplicity = 2 42) x = -2, -6
43) x = 0, -4 44) x = -1, multiplicity = 2 45) x = 0, 7 46) x = -1, 8
Given the x-intercepts of a quadratic graph write the function in factored and standard forms. Graph.
47) (-4, 0), (4, 0) 48) (-1, 0), (5, 0) 49) (-1, 0), (1, 0) 50) (2, 0), (-6, 0)
51) (0, 0), (5, 0) 52) (-3, 0), (0, 0) 53) (-3, 0) 54) (2, 0)
Given the graph of a function write the equation in factored and standard form.
55) 56) 57) 58)